EXTREMEPUZZLE BOOKS

Extreme Killer Sudoku 2, puzzle 65: step-by-step solution

Step through the whole solution, or skip to the hard parts. Blue digits are placed by the walkthrough; red strike-through marks a candidate being ruled out.

Puzzle
Killer sudoku, number 65 of 150 in Extreme Killer Sudoku 2
Difficulty
Expert 2 (expert and beyond), from the middle third of the book
Key technique
Forcing Chains
Hard steps
6 of 91 steps need an advanced or expert technique

Blue digits are placed by the walkthrough. Red strike-through marks a candidate being ruled out. Cells are named by row and column: R3C5 is row 3, column 5. Arrow keys step too.

The key technique: Forcing Chains

Try each candidate of one cell in turn. Every choice leads to the same result, so that result must be true.

Other advanced and expert techniques in this solve: Advanced Innies (3+ sectors) (×2), Empty Rectangle, Multi-Sector Locking, Remote Pairs.

Every move above the basics is listed on the killer sudoku techniques page, each with a one-sentence explanation and worked examples from the books.

The hard steps, in text (6)
  1. Step 29 · Empty Rectangle advanced
    Rules out 3 from R7C3.
  2. Step 30 · Advanced Innies (3+ sectors) advanced
    Rules out 3 from R4C3, R6C3; 2 from R6C3; 6 from R6C8.
  3. Step 32 · Forcing Chains expert
    Rules out 7 from R6C3.
  4. Step 34 · Advanced Innies (3+ sectors) advanced
    Rules out 6 from R5C6; 3 from R7C8.
  5. Step 41 · Multi-Sector Locking advanced
    Rules out 4 from R6C1.
  6. Step 70 · Remote Pairs expert
    Rules out 3 from R8C2, R9C2; 6 from R8C2, R9C2.

The book

Volume two: 150 new killers, none repeated from book 1. No starting digits, just cages and their totals, ramping from hard to brutal.

150 new puzzles. Expert and beyond. Puzzles by M. J. Bailey. Paperback, 5 × 8 in, 196 pages, £9.99 / $11.99. Every solution in the book carries a QR code to its own walkthrough, so you can check one step without seeing the whole answer.

Try a free sample puzzle (PDF) · prints on A4 or US Letter